A Study of LY900014 in Japanese Participants With Type 1 Diabetes Mellitus

Inclusion Criteria: * Are Japanese male or female participant with a diagnosis of T1DM, based on the World Health Organization classification, for at least 1 year prior to screening * Have a body mass index (BMI) of 18.5 to 30.0 kilograms per square meter (kg/m²) * Have a glycated hemoglobin \<9.0% at screening Exclusion Criteria: * Have, except for current regimen of insulin therapy and concomitant medication(s), regular use of or intended use of any over-the-counter or prescription medications or nutritional supplements that treat hyperglycemia or insulin resistance or that promote weight loss within 14 days before dosing * Are receiving chronic (lasting longer than 14 consecutive days) systemic or inhaled glucocorticoid therapy (excluding topical, intra-articular, and intraocular preparations), or have received such therapy within the 4 weeks before screening * Have a history of renal impairment (exclusion only if estimated glomerular filtration rate \[GFR\] \<60 milliliters/minute/1.73 square meters \[GFR is estimated according to a formula recommended by the Japanese Society of Nephrology\]), or have a serum creatinine level ≥126 micromoles per liter (μmol/L) (\>1.42 milligrams per deciliter \[mg/dL\]) (male) or ≥111 μmol/L (\>1.25 mg/dL) (female) * Have a history of deep vein thrombosis of the leg, or repeated episodes of deep leg vein thrombosis in first-degree relatives (parents, siblings, or children), as determined by the investigator * Have proliferative retinopathy or maculopathy and/or severe neuropathy; in particular, autonomic neuropathy, as determined by the investigator based on a recent (\<1.5 years) ophthalmologic examination * Have had any significant changes in insulin regimen and/or unstable blood glucose control within the past 3 months prior to screening, as determined by the investigator * Require daily insulin treatment \>1.5 units per kilogram (U/kg)